Mad Max is driving his car at 0.866c. (Take the value of gamma to be 2.) He is a

Question

Mad Max is driving his car at 0.866c. (Take the value of gamma to be 2.) He is approaching a stationary garage. The proper length of Max's car is 18 ft. The proper length of the garage is 14 ft. The garage door is open and an attendant plans to close the door when the car is entirely within the garage. Since the attendant measures the car's length to be 18 ft / 2 = 9 ft, he see's no difficulty performing this task. However, from Max's point of view, the garage is only 14 ft /2 = 7 ft. He claims that the attendant will not be able shut the door while the car is entirely within the garage. Who is correct? Explain you answer.

Explanation / Answer

Here ,

as the garage will be at the proper length when the car is parked

and the car will also be at it's proper length

as the proper length of car = 18 feet

proper length of garage = 14 feet

as the length of car is larger than the length of garage

hence , the attendant is right that he will not be able to shut the door

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